Finding the Third Proportional to 82.58 and 176.55

Step by Step Solution

1. Step 1: Write the proportion equation
   82.58 : 176.55 = 176.55 : x
2. Step 2: Convert to fraction form
   82.58/176.55 = 176.55/x
3. Step 3: Cross multiply
   82.58x = 176.55 × 176.55
4. Step 4: Simplify right side
   82.58x = 31,171.56
5. Step 5: Solve for x
   x = 31,171.56/82.58
6. Step 6: Final answer
   x = 377.46